17112
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 46080
- Proper Divisor Sum (Aliquot Sum)
- 28968
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 4278
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 79
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of ways of writing 0 as Sum_{k=-n..n} e(k)*k, where e(k) is 0 or 1.at n=9A000980
- a(n) = Sum_{k=0..n} (k+1) * A026681(n, k).at n=10A026990
- Row sums of array T as in A054144.at n=7A054145
- Rank of K-groups of Furstenberg transformation group C*-algebras of n-torus.at n=19A084239
- 12 times pentagonal numbers: a(n) = 6*n*(3*n-1).at n=31A153792
- Number of 4-element nondividing subsets of {1, 2, ..., n}.at n=32A187491
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+84847)^2 = y^2.at n=12A201917
- Ordered differences of numbers 3^j-2^j, as in A001047.at n=34A205105
- s(k)-s(j), where (s(k),s(j)) is the least pair of numbers given by s(j)=3^j-2^j which n divides their difference.at n=30A205110
- Number of arrays of n nonnegative integers with value i>0 appearing only after i-1 has appeared at least 5 times.at n=16A210542
- Number of tilings of a 10 X n rectangle using integer-sided rectangular tiles of area 10.at n=16A220127
- Number of nX1 0..1 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope.at n=18A222955
- a(n) = number of steps to reach 0 when starting from k = (3^n)-1 and repeatedly applying the map that replaces k with k - (sum of digits in base-3 representation of k).at n=11A261233
- Concatenate sum of digits of previous term and product of digits of previous term, starting with 8.at n=4A271268
- Concatenate sum of digits of previous term and product of digits of previous term, starting with 8.at n=9A271268
- Concatenate sum of digits of previous term and product of digits of previous term, starting with 8.at n=14A271268
- Concatenate sum of digits of previous term and product of digits of previous term, starting with 8.at n=19A271268
- Concatenate sum of digits of previous term and product of digits of previous term, starting with 8.at n=24A271268
- Concatenate sum of digits of previous term and product of digits of previous term, starting with 8.at n=29A271268
- Concatenate sum of digits of previous term and product of digits of previous term, starting with 8.at n=34A271268